noname5359
02.08.2019 •
Mathematics
For the linear function f(x)=mx+b, f(-2)=11 and f(3)=-9. find m and b
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Ответ:
Step-by-step explanation:
Filling the given information into the equation gives two equations in two unknowns:
11 = m(-2) +b-9 = m(3) +bSubtracting the first equation from the second, we have ...
(-9) -(11) = (3m +b) -(-2m +b)
-20 = 5m . . . . . . simplify
-4 = m . . . . . . . . divide by the coefficient of m
Putting this value of m into the first equation above, we have ...
11 = -2(-4) +b
3 = b . . . . . . . . . subtract 8
The values of m and b are -4 and 3, respectively.
Ответ: